Extended Data Fig. 1: The applied scaling in the 2015 PB paper and here.

In the 2015 PB paper, the PB and upper-end of the uncertainty zone values were used to linearly scale all values of the control variable also outside the range of these values. Here, we used the reference value (often based on the undisturbed state) as third variable in order to better represent the dynamic values for the control variable in this paper. A small exception was made for the biogeochemical flows. Given the wide range of the data, here the data was scaled with the upper end of the uncertainty zone once the values are above the upper end (below the upper end exactly the same equation is used).